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2 years ago

If a rectangle is rotated about the y-axis as shown below, what three-dimensional figure would be formed?

Mathematics

1 answer:

Xelga [282]2 years ago

5 0

Answer:

Cylinder. The explanation is not very exact, more intuition and whatnot, so let me know if there was anything you did not understand.

Step-by-step explanation:

This is assuming the rectangle has its sides parallel with the x and y axes.

Let's try to eliminate them one by one. A cone does not seem likely since it has slanted sides, and spinning the two straight sides will keep the sides straight. This can be used for the pyramid as well. Let me know if this doesn't make sense though.

Now for me I would imagine that rectangle being a sheet of paper, or metal. if you set that sheet atop some dirt or something and then rotated it, what shape would be drawn into the material? It would be a circle. So we know the 3d shapewill have a base of a circle, which leaves us with a cylinder. Again, let me know if this method did not make sense.

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2 years ago

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The function h is defined as follows.

JulsSmile [24]

Answer:

The equation you are given is a quadratic. The standard form of a quadratic is y = a(x-h)2 + k where (h,k) is the vertex of the graph, which is a parabola. Vertically moving the graph 4 units upward means that you are moving k +4 units.

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1 year ago

Given that F( x ) = x 2 + 2, evaluate F(1) + F(5).

stealth61 [152]

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Answer:

$\huge\boxed{f(1) + f(5) = 30}$

Given:

$f(x) = x^{2} + 2$

Evaluate $f(1) + f(5)$

Solve for each:

$f(1) = (1)^{2} + 2 = 3$

$f(5) = (5)^{2} + 2 = 27$

$27 + 3 = 30$

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2 years ago

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From a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. In how many dif

Romashka [77]

Answer:

11,880 different ways.

Step-by-step explanation:

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We will use permutations for solve our given problem.

$^nP_r=\frac{n!}{(n-r)!}$ , where,